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Finding the Third Proportional to 6,642,680 and 14,304,144

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Solution

The third proportional to 6,642,680 and 14,304,144 is: 30,802,106.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642,680 : 14,304,144 = 14,304,144 : x
  2. Step 2: Convert to fraction form
    6,642,680/14,304,144 = 14,304,144/x
  3. Step 3: Cross multiply
    6,642,680x = 14,304,144 × 14,304,144
  4. Step 4: Simplify right side
    6,642,680x = 204,608,535,572,736
  5. Step 5: Solve for x
    x = 204,608,535,572,736/6,642,680
  6. Step 6: Final answer
    x = 30,802,106.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.